Optimal radiation energies finding at the problem of determining the chemical composition of a medium

Within the bounds of the problem of the chemical composition finding of a homogeneous medium by multi-energy radiography a task of choosing the best X-ray energies is considered. A mathematical model of the problem has been formulated and a method of its solution has been advanced. The method consists in finding such a set of radiation energy, in which the condition number of some matrix is minimized. The studies for several groups of substances have been carried out. Several examples of the problem solutions for media of different chemical composition are presented.